Blow up analysis for a porous media equation with nonlinear sink and nonlinear boundary condition
In this paper, we study porous media equation $u_{t}=\Delta u^{m}-u^{p}$ with nonlinear boundary condition $\frac{\partial u}{\partial\nu}=ku^{q}$. We determine some sufficient conditions for the occurrence of finite time blow-up or global existence. Moreover, lower and upper bounds for blow-up time...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
University of Szeged
2021-02-01
|
| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Subjects: | |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=8859 |